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Finding the Fourth Proportional to 5,164.38, 7,746.50 and 1,268.82

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Solution

The fourth proportional to 5,164.38, 7,746.50 and 1,268.82 is: 1,903.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.38 : 7,746.50 = 1,268.82 : x
  2. Step 2: Convert to fraction form
    5,164.38/7,746.50 = 1,268.82/x
  3. Step 3: Cross multiply
    5,164.38x = 7,746.50 × 1,268.82
  4. Step 4: Simplify right side
    5,164.38x = 9,828,881.12
  5. Step 5: Solve for x
    x = 9,828,881.12/5,164.38
  6. Step 6: Final answer
    x = 1,903.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.